Finding the Fourth Proportional to 2,865.58, 3,956.45 and 2,566.69

Step by Step Solution

1. Step 1: Write the proportion equation
   2,865.58 : 3,956.45 = 2,566.69 : x
2. Step 2: Convert to fraction form
   2,865.58/3,956.45 = 2,566.69/x
3. Step 3: Cross multiply
   2,865.58x = 3,956.45 × 2,566.69
4. Step 4: Simplify right side
   2,865.58x = 10,154,948.03
5. Step 5: Solve for x
   x = 10,154,948.03/2,865.58
6. Step 6: Final answer
   x = 3,543.77